Lepton anomalous magnetic moments (AMMs) for the first two generations that are very sensitive to new physics are measured in the experiments with unprecedented accuracy. There is a long-standing tension in the muon AMM \((g-2)_\mu \)  measured in 2006 at Brookhaven [1]}. Fermilab's new measurement [2]} is in complete agreement with the previous result, and the combined result shows a large \(4.2\sigma \)  discrepancy with
the SM prediction [3]}. As for the electron, a recent experiment at Berkeley [4]} has measured the fine-structure constant using Caesium atom with extreme precision, which shows a smaller value of \((g-2)_e\)  compared to the theoretical value [5]}. This result indicates a negative \(2.4\sigma \)  disagreement with the SM prediction. A large positive deviationFor a most recent review of BSM models to address this anomaly, see Ref. [6]} and references therein. of \((g-2)_\mu \)  but a negative deviation of \((g-2)_e\)  caused excitement in the high-energy physics community, and various new physics proposals have been made to solve these discrepancies simultaneously [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}, [26]}, [27]}, [28]}, [29]}, [30]}, [31]}, [32]}, [33]}, [34]}, [35]}, [36]}, [37]}, [38]}, [39]}, [40]}, [41]}, [42]}, [43]}, [44]}, [45]}, [46]}, [47]}, [48]}, [49]}, [50]}, [51]}, [52]}, [53]}, [54]}, [55]}, [56]}, [57]}.
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